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Finding the Fourth Proportional to 4,310.01, 6,465.69 and 1,712.88

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Solution

The fourth proportional to 4,310.01, 6,465.69 and 1,712.88 is: 2,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.01 : 6,465.69 = 1,712.88 : x
  2. Step 2: Convert to fraction form
    4,310.01/6,465.69 = 1,712.88/x
  3. Step 3: Cross multiply
    4,310.01x = 6,465.69 × 1,712.88
  4. Step 4: Simplify right side
    4,310.01x = 11,074,951.09
  5. Step 5: Solve for x
    x = 11,074,951.09/4,310.01
  6. Step 6: Final answer
    x = 2,569.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.